OUTPUT of run 3 of at most 100:
```
L0 effective OV singular spectra (first 32):
0 [3.424 2.469 0.529 0.401 0.346 0.25  0.205 0.199 0.178 0.135 0.114 0.101 0.094 0.086 0.079 0.073 0.07  0.06  0.057 0.053 0.051 0.048 0.046 0.042
 0.041 0.039 0.037 0.035 0.033 0.03  0.029 0.027]
1 [0.996 0.923 0.89  0.862 0.836 0.815 0.803 0.767 0.731 0.71  0.698 0.669 0.648 0.64  0.626 0.6   0.586 0.572 0.521 0.517 0.492 0.47  0.441 0.358
 0.349 0.311 0.299 0.257 0.247 0.208 0.201 0.172]
2 [1.055 0.901 0.807 0.66  0.537 0.47  0.373 0.347 0.277 0.236 0.21  0.163 0.133 0.12  0.105 0.097 0.089 0.081 0.073 0.068 0.061 0.058 0.053 0.051
 0.048 0.041 0.038 0.036 0.035 0.034 0.033 0.029]
3 [1.025 0.558 0.459 0.438 0.353 0.341 0.325 0.292 0.277 0.259 0.232 0.213 0.185 0.15  0.142 0.132 0.126 0.11  0.097 0.093 0.079 0.077 0.067 0.062
 0.056 0.055 0.047 0.045 0.043 0.038 0.036 0.036]
4 [13.877  9.644  2.507  0.968  0.594  0.554  0.483  0.433  0.345  0.295  0.28   0.228  0.205  0.187  0.16   0.126  0.111  0.091  0.079  0.074  0.069
  0.068  0.063  0.061  0.05   0.047  0.044  0.042  0.039  0.038  0.033  0.033]
5 [1.059 1.044 0.96  0.948 0.909 0.899 0.855 0.836 0.817 0.77  0.753 0.731 0.709 0.676 0.656 0.646 0.604 0.552 0.533 0.454 0.42  0.346 0.332 0.307
 0.299 0.292 0.274 0.259 0.237 0.227 0.223 0.216]

L0H5 symmetric-QK eigenvalues, descending:
[0.2734 0.2195 0.2099 0.1954 0.1774 0.1566 0.1421 0.1202 0.1088 0.1023 0.0519 0.0495 0.0375 0.0297 0.029  0.0158 0.0133 0.0126 0.0107 0.0101 0.0092
 0.0083 0.0074 0.0065 0.0058 0.005  0.0048 0.0038 0.0034 0.0033 0.0031 0.0025 0.0024 0.0021 0.002  0.0019 0.0016 0.0015 0.0013 0.0012 0.0012 0.0011
 0.0009 0.0009 0.0009]
Smallest: [-0.0174 -0.0197 -0.0224 -0.0268 -0.031  -0.0334 -0.0414 -0.0426 -0.046  -0.0496 -0.0502 -0.0549 -0.0642 -0.0776 -0.0826]

QK energy reading leading 3 OUTPUT directions of each L0 OV:
L1H0 query [0.043 0.021 0.035 0.022 0.061 0.015] key [0.272 0.012 0.012 0.051 0.342 0.012]
L1H1 query [0.071 0.008 0.008 0.024 0.107 0.011] key [0.521 0.002 0.017 0.07  0.627 0.008]
L1H2 query [0.063 0.009 0.009 0.027 0.108 0.014] key [0.489 0.003 0.017 0.072 0.631 0.009]
L1H3 query [0.08  0.004 0.012 0.041 0.137 0.008] key [0.546 0.003 0.023 0.085 0.678 0.007]
L1H4 query [0.075 0.006 0.008 0.031 0.119 0.019] key [0.516 0.003 0.024 0.079 0.645 0.013]
L1H5 query [0.05  0.007 0.016 0.019 0.084 0.032] key [0.459 0.003 0.014 0.051 0.525 0.017]
L2H0 query [0.009 0.008 0.009 0.008 0.01  0.01 ] key [0.046 0.009 0.011 0.012 0.051 0.014]
L2H1 query [0.008 0.007 0.012 0.006 0.005 0.019] key [0.007 0.012 0.011 0.005 0.005 0.02 ]
L2H2 query [0.013 0.007 0.006 0.01  0.014 0.023] key [0.057 0.006 0.01  0.015 0.07  0.019]
L2H3 query [0.018 0.009 0.009 0.01  0.022 0.008] key [0.077 0.008 0.01  0.02  0.095 0.013]
L2H4 query [0.018 0.008 0.006 0.012 0.023 0.009] key [0.079 0.006 0.027 0.02  0.095 0.011]
L2H5 query [0.009 0.007 0.016 0.007 0.006 0.008] key [0.039 0.007 0.012 0.009 0.041 0.009]
L3H0 query [0.004 0.006 0.005 0.005 0.002 0.01 ] key [0.016 0.007 0.011 0.006 0.017 0.01 ]
L3H1 query [0.005 0.005 0.008 0.007 0.003 0.011] key [0.01  0.008 0.01  0.006 0.009 0.016]
L3H2 query [0.004 0.007 0.01  0.006 0.003 0.01 ] key [0.022 0.007 0.01  0.007 0.025 0.01 ]
L3H3 query [0.006 0.007 0.013 0.008 0.005 0.005] key [0.01  0.006 0.01  0.006 0.01  0.008]
L3H4 query [0.01  0.007 0.012 0.006 0.004 0.006] key [0.025 0.008 0.01  0.007 0.025 0.008]
L3H5 query [0.005 0.01  0.007 0.006 0.003 0.022] key [0.006 0.015 0.01  0.006 0.005 0.023]

Selected key-composition spectra, on weight products only:
(2, 1) (0, 5) trace/Frob/nuclear [0.5595 0.549  2.6366] sym_positive_fraction 0.6084 eig_top_real [0.0559 0.0559 0.0505 0.0501 0.0501 0.0379 0.0379 0.0331 0.0331 0.0242 0.0242 0.0225]
(3, 1) (2, 2) trace/Frob/nuclear [ 3.1409  1.7435 10.9188] sym_positive_fraction 0.648 eig_top_real [0.2974 0.1824 0.1824 0.1799 0.1725 0.1725 0.116  0.1148 0.1148 0.1126 0.1126 0.0976]
(3, 5) (2, 2) trace/Frob/nuclear [ 6.521   2.6779 16.7035] sym_positive_fraction 0.7003 eig_top_real [0.4    0.4    0.3195 0.3017 0.3017 0.2888 0.2888 0.2559 0.2559 0.2349 0.2349 0.2053]
(1, 4) (0, 4) trace/Frob/nuclear [ 0.9408 11.2992 15.1822] sym_positive_fraction 0.5311 eig_top_real [0.4559 0.4559 0.0134 0.0076 0.0027 0.0022 0.0012 0.0012 0.0011 0.0008 0.0008 0.0004]
(2, 2) (0, 1) trace/Frob/nuclear [-0.1618  0.4631  2.2341] sym_positive_fraction 0.4629 eig_top_real [0.0151 0.0102 0.0102 0.0069 0.0051 0.0051 0.0033 0.0033 0.0029 0.0029 0.002  0.002 ]
(2, 2) (1, 2) trace/Frob/nuclear [-1.3976  1.8914  8.8391] sym_positive_fraction 0.4179 eig_top_real [0.0407 0.0407 0.0373 0.0326 0.0231 0.0231 0.015  0.0129 0.0129 0.0095 0.003  0.0027]

First MLP row-weight geometry:
effective FC0 singular values (first 65) [18.977 11.828  8.576  7.711  7.631  7.407  6.879  6.768  6.576  6.508  6.417  6.323  6.248  6.176  6.133  5.979  5.93   5.865  5.827  5.775  5.645
  5.615  5.569  5.542  5.484  5.42   5.309  5.253  5.241  5.139  5.057  4.954  4.882  4.82   4.734  4.699  4.579  4.516  4.5    4.453  4.371  4.313
  4.265  4.191  4.127  4.076  3.998  3.855  3.826  3.801  3.685  3.646  3.552  3.404  3.33   3.236  3.214  3.157  3.063  3.037  2.926  2.812  2.752
  2.742  2.7  ]
rank 24 k 20 mean within-cluster cosine 0.682 coherent clusters (centroid norm > .65) [(166, 0.758), (133, 0.767), (132, 0.733), (122, 0.746), (118, 0.734), (115, 0.74), (109, 0.767), (107, 0.716), (30, 0.663), (28, 0.773), (23, 0.75)]
rank 24 k 24 mean within-cluster cosine 0.702 coherent clusters (centroid norm > .65) [(163, 0.771), (132, 0.746), (128, 0.781), (121, 0.77), (118, 0.746), (109, 0.737), (106, 0.753), (91, 0.691), (45, 0.713), (31, 0.654), (30, 0.673), (30, 0.671), (30, 0.662), (29, 0.663), (25, 0.692), (24, 0.685)]
rank 24 k 28 mean within-cluster cosine 0.714 coherent clusters (centroid norm > .65) [(152, 0.75), (145, 0.786), (140, 0.777), (117, 0.74), (116, 0.757), (116, 0.739), (91, 0.744), (69, 0.67), (49, 0.719), (33, 0.732), (27, 0.709), (26, 0.688), (24, 0.708), (22, 0.733), (22, 0.723), (22, 0.679), (21, 0.756), (20, 0.697), (19, 0.783), (19, 0.699)]
rank 24 k 32 mean within-cluster cosine 0.726 coherent clusters (centroid norm > .65) [(117, 0.781), (105, 0.781), (104, 0.769), (102, 0.759), (91, 0.771), (90, 0.771), (86, 0.767), (80, 0.737), (79, 0.756), (70, 0.72), (67, 0.723), (30, 0.749), (29, 0.676), (26, 0.695), (25, 0.671), (24, 0.714), (22, 0.742), (22, 0.731), (22, 0.722), (22, 0.684), (20, 0.769), (20, 0.685), (18, 0.759), (18, 0.695), (17, 0.782)]
rank 24 k 40 mean within-cluster cosine 0.743 coherent clusters (centroid norm > .65) [(80, 0.79), (79, 0.791), (79, 0.777), (79, 0.771), (71, 0.794), (69, 0.756), (68, 0.788), (68, 0.784), (65, 0.771), (59, 0.722), (58, 0.758), (54, 0.778), (53, 0.76), (49, 0.767), (48, 0.765), (27, 0.692), (27, 0.657), (26, 0.702), (26, 0.661), (25, 0.67), (23, 0.736), (23, 0.666), (22, 0.716), (22, 0.711), (21, 0.815), (21, 0.741), (21, 0.704), (20, 0.764), (19, 0.789), (19, 0.745), (19, 0.68), (17, 0.71), (17, 0.657), (15, 0.745), (14, 0.783)]
rank 32 k 20 mean within-cluster cosine 0.626 coherent clusters (centroid norm > .65) [(189, 0.694), (176, 0.706), (164, 0.687), (152, 0.681), (132, 0.679), (112, 0.661), (33, 0.705)]
rank 32 k 24 mean within-cluster cosine 0.641 coherent clusters (centroid norm > .65) [(141, 0.719), (129, 0.705), (124, 0.68), (121, 0.691), (118, 0.707), (115, 0.693), (90, 0.653), (84, 0.654), (45, 0.655), (32, 0.683), (30, 0.718), (27, 0.659), (21, 0.714)]
rank 32 k 28 mean within-cluster cosine 0.657 coherent clusters (centroid norm > .65) [(142, 0.716), (142, 0.693), (118, 0.707), (99, 0.715), (99, 0.704), (95, 0.685), (91, 0.689), (85, 0.675), (60, 0.657), (46, 0.656), (25, 0.669), (22, 0.703), (21, 0.713), (21, 0.691), (20, 0.752), (19, 0.708), (18, 0.723), (13, 0.714)]
rank 32 k 32 mean within-cluster cosine 0.67 coherent clusters (centroid norm > .65) [(119, 0.72), (106, 0.723), (96, 0.719), (93, 0.711), (92, 0.689), (89, 0.69), (88, 0.691), (79, 0.683), (73, 0.703), (73, 0.683), (58, 0.683), (39, 0.673), (21, 0.703), (21, 0.691), (21, 0.678), (20, 0.752), (20, 0.73), (19, 0.733), (18, 0.717), (17, 0.733), (13, 0.714)]
rank 32 k 40 mean within-cluster cosine 0.692 coherent clusters (centroid norm > .65) [(97, 0.745), (94, 0.749), (94, 0.702), (91, 0.712), (80, 0.725), (77, 0.705), (77, 0.678), (75, 0.712), (72, 0.693), (64, 0.705), (53, 0.688), (51, 0.689), (30, 0.672), (25, 0.756), (25, 0.661), (24, 0.685), (22, 0.69), (22, 0.66), (21, 0.709), (21, 0.692), (20, 0.733), (20, 0.682), (19, 0.744), (17, 0.729), (16, 0.748), (14, 0.814), (14, 0.747), (14, 0.725), (13, 0.736), (10, 0.766)]
rank 48 k 20 mean within-cluster cosine 0.532 coherent clusters (centroid norm > .65) []
rank 48 k 24 mean within-cluster cosine 0.557 coherent clusters (centroid norm > .65) []
rank 48 k 28 mean within-cluster cosine 0.566 coherent clusters (centroid norm > .65) [(18, 0.675)]
rank 48 k 32 mean within-cluster cosine 0.579 coherent clusters (centroid norm > .65) [(73, 0.65), (20, 0.66), (19, 0.664)]
rank 48 k 40 mean within-cluster cosine 0.601 coherent clusters (centroid norm > .65) [(78, 0.655), (51, 0.663), (21, 0.683), (20, 0.651), (15, 0.736), (14, 0.696)]

```